كتاب الجبر المعاصر Contemporary Abstract Algebra pdf
كتاب الجبر المعاصر Contemporary Abstract Algebra pdf
SEVENTH EDITION 7
Joseph A. GallianUniversity of Minnesota Duluth
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PART 1 Integers and Equivalence Relations
0 Preliminaries
PART 2 Groups
1 Introduction to Groups
2 Groups
3 Finite Groups; Subgroups
4 Cyclic Groups
5 Permutation Groups
6 Isomorphisms
7 Cosets and Lagrange’s Theorem
8 External Direct Products
9 Normal Subgroups and Factor Groups
10 Group Homomorphisms
11 Fundamental Theorem of Finite
Abelian Groups 218
PART 3 Rings
12 Introduction to Rings
13 Integral Domains
14 Ideals and Factor Rings
15 Ring Homomorphisms
16 Polynomial Rings
17 Factorization of Polynomials
18 Divisibility in Integral Domains
PART 4 Fields
19 Vector Spaces
20 Extension Fields
21 Algebraic Extensions
22 Finite Fields
23 Geometric Constructions
PART 5 Special Topics
24 Sylow Theorems
31 Introduction to Algebraic Coding Theory
32 An Introduction to Galois Theory
33 Cyclotomic Extensions
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